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Finding the Fourth Proportional to 500,227, 690,379.14 and 285,317.80

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Solution

The fourth proportional to 500,227, 690,379.14 and 285,317.80 is: 393,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,227 : 690,379.14 = 285,317.80 : x
  2. Step 2: Convert to fraction form
    500,227/690,379.14 = 285,317.80/x
  3. Step 3: Cross multiply
    500,227x = 690,379.14 × 285,317.80
  4. Step 4: Simplify right side
    500,227x = 196,977,457,390.69
  5. Step 5: Solve for x
    x = 196,977,457,390.69/500,227
  6. Step 6: Final answer
    x = 393,776.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.